What is the Least Common Multiple of 97040 and 97052?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 97040 and 97052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97040 and 97052, than apply into the LCM equation.

GCF(97040,97052) = 4
LCM(97040,97052) = ( 97040 × 97052) / 4
LCM(97040,97052) = 9417926080 / 4
LCM(97040,97052) = 2354481520

Least Common Multiple (LCM) of 97040 and 97052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97040 and 97052. First we will calculate the prime factors of 97040 and 97052.

Prime Factorization of 97040

Prime Factorization of 97052

Now multiplying the highest exponent prime factors to calculate the LCM of 97040 and 97052.

LCM(97040,97052) = 2⁴ × 5¹ × 1213¹ × 19¹ × 1277¹
LCM(97040,97052) = 2354481520